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Every weekday after tennis practice, Will buys either a carton of milk or a bottle
of power drink.
Suppose that m is the number of cartons of milk that Will purchased during
the last month. His total cost for beverages in dollars last month can be
represented by the algebraic expression 2m + 3 (20 – m).
Which of the following statements are true? Select all that apply.
The cost of the power drink is $3 per bottle,
Will purchased 20 more bottles of power drink than cartons of milk.
Will purchased a total of 20 beverages during the last month.
The total amount Will spent on power drinks was $60
An equivalent expression for the total cost of Will's beverages during this month is
60 - m dollars
Will purchased 20 more cartons of milk than bottles of power drink

Respuesta :

Answer:

The correct options are;

The cost of milk powder is $3 per bottle

An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars

Step-by-step explanation:

The given information are;

The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink

The number of milk purchased during the month = m

Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)

1) Therefore, given that the total amount is factored in dollars, we have;

2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;

Therefore;

Where;

2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk

Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month

From which we found the cost of milk powder = $3.00 per bottle

2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;

2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.

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